Allowable Generalized Quantum Gates Using Nonlinear Quantum Optics

Long, Gui-Lu, Liu +3 more

HuaiXin Cao, Li Li, ZhengLi Chen +2 more

Cao, HuaiXin, LI . +6 more

Chunyan Li, Junlin Li

In this paper, we give an efficient physical realization of a double-slit duality quantum gate. Weak cross-Kerr nonlinearity is exploited here. The probability of success can reach 1/2. Asymmetrical slit duality control gate also can be constructed conveniently. The special quantum control gate could be realized easily in optical system by our current experimental technology.

李 春艶, 李俊林

在这份报纸，我们给一扇双裂缝两重性量门的一条有效物理认识。弱 cross-Kerr 非线性这里被利用。成功的概率能到达 1/2。不均匀的裂缝两重性控制门能也方便地被构造。特殊的量控制门能被我们的当前的试验性的技术在光系统容易认识到。

Cao Huai

An allowable generalized quantum gate(introduced by Long,Liu and Wang)has the form of U 1 0 d kk k c U -= ∑,where Uk's are unitary operators on a Hilbert space H and 1 0 1 d kkc -= |∑|≤and 1 k |c|≤(0≤k≤d-1).In this work we consider a kind of AGQGs,called restricted allowable generalized quantum gates(RAGQGs),satisfying 1 0 0 1 d kk c -= ∑||≤.Some properties of the set RAGQG(H)of all RAGQGs on H are established.Especially,we prove that the extreme points of RAGQG(H)are exactly unitary operators on H and that B(H)=R+RAGQG(H).